Hendrix diamond

The Hendrix diamond is the tonality diamond generated from the ratios 1/1, 7/6, 5/4, 3/2 and 7/4.

	1/1	7/6	5/4	3/2	7/4
	12/7	1/1	15/14	9/7	3/2
	8/5	28/15	1/1	6/5	7/5
	4/3	14/9	5/3	1/1	7/6
	8/7	4/3	10/7	12/7	1/1

All notes in the Hendrix diamond are also found in the 15-limit tonality diamond, because 1/1:7/6:5/4:3/2:7/4 is a 15-limit anomalous saturated suspension.

Symmetry group

The symmetry group of the Hendrix diamond has 16 elements. Its generators are:

• 3:2, 5:4, 7:4 → 7:6, 5:3, 14:9
• 3:2, 5:4, 7:4 → 3:2, 15:14, 9:7
• 3:2, 5:4, 7:4 → 4:3, 8:5, 8:7

Orbits and Invariant Subsets

[to be included]